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Finding the Fourth Proportional to 300.48, 414.56 and 176

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Solution

The fourth proportional to 300.48, 414.56 and 176 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.48 : 414.56 = 176 : x
  2. Step 2: Convert to fraction form
    300.48/414.56 = 176/x
  3. Step 3: Cross multiply
    300.48x = 414.56 × 176
  4. Step 4: Simplify right side
    300.48x = 72,962.56
  5. Step 5: Solve for x
    x = 72,962.56/300.48
  6. Step 6: Final answer
    x = 242.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.